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Finding the Third Proportional to 30,189 and 65,568

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Solution

The third proportional to 30,189 and 65,568 is: 142,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189 : 65,568 = 65,568 : x
  2. Step 2: Convert to fraction form
    30,189/65,568 = 65,568/x
  3. Step 3: Cross multiply
    30,189x = 65,568 × 65,568
  4. Step 4: Simplify right side
    30,189x = 4,299,162,624
  5. Step 5: Solve for x
    x = 4,299,162,624/30,189
  6. Step 6: Final answer
    x = 142,408.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.